-3-2(4x-13)=-40x+7

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Solution for -3-2(4x-13)=-40x+7 equation:


Simplifying
-3 + -2(4x + -13) = -40x + 7

Reorder the terms:
-3 + -2(-13 + 4x) = -40x + 7
-3 + (-13 * -2 + 4x * -2) = -40x + 7
-3 + (26 + -8x) = -40x + 7

Combine like terms: -3 + 26 = 23
23 + -8x = -40x + 7

Reorder the terms:
23 + -8x = 7 + -40x

Solving
23 + -8x = 7 + -40x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '40x' to each side of the equation.
23 + -8x + 40x = 7 + -40x + 40x

Combine like terms: -8x + 40x = 32x
23 + 32x = 7 + -40x + 40x

Combine like terms: -40x + 40x = 0
23 + 32x = 7 + 0
23 + 32x = 7

Add '-23' to each side of the equation.
23 + -23 + 32x = 7 + -23

Combine like terms: 23 + -23 = 0
0 + 32x = 7 + -23
32x = 7 + -23

Combine like terms: 7 + -23 = -16
32x = -16

Divide each side by '32'.
x = -0.5

Simplifying
x = -0.5

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